What is the Least Common Multiple of 99580 and 99598?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99580 and 99598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99580 and 99598, than apply into the LCM equation.

GCF(99580,99598) = 2
LCM(99580,99598) = ( 99580 × 99598) / 2
LCM(99580,99598) = 9917968840 / 2
LCM(99580,99598) = 4958984420

Least Common Multiple (LCM) of 99580 and 99598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99580 and 99598. First we will calculate the prime factors of 99580 and 99598.

Prime Factorization of 99580

Prime Factorization of 99598

Now multiplying the highest exponent prime factors to calculate the LCM of 99580 and 99598.

LCM(99580,99598) = 2² × 5¹ × 13¹ × 383¹ × 19¹ × 2621¹
LCM(99580,99598) = 4958984420